conversations listlengths 2 2 | question stringlengths 13 7.47k ⌀ | source stringclasses 8
values | id int64 1 50k ⌀ | prompt listlengths 2 2 | answer stringlengths 1 532 ⌀ | prompt_type stringclasses 2
values | model_responses__example_annotation listlengths 2 2 | model_responses__example_annotation__finish_reason_length_flags listlengths 2 2 | model_responses__example_annotation__length_partial_responses listlengths 2 2 | prompt__example_annotation__metadata dict | model_responses__example_annotation__metadata dict |
|---|---|---|---|---|---|---|---|---|---|---|---|
[
{
"from": "user",
"value": "If a profit of 20 yuan is denoted as +20 yuan, then a loss of 30 yuan is denoted as ____ yuan."
},
{
"from": "assistant",
"value": "<think>\nOkay, let's see. The problem says that if a profit of 20 yuan is denoted as +20 yuan, then a loss of 30 yuan should be denoted ... | If a profit of 20 yuan is denoted as +20 yuan, then a loss of 30 yuan is denoted as ____ yuan. | null | null | [
{
"content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving... | -30 | rephrase_rationalized | [
"Rewritten Question: If a profit of 20 yuan is denoted as +20 yuan, then a loss of 30 yuan is denoted as ____ yuan.\n\nTo solve this, we need to understand how profits and losses are represented in terms of positive and negative numbers.\n\n1. A profit of 20 yuan is denoted as +20 yuan.\n2. By analogy, a loss would... | [
false,
false
] | [
"",
""
] | {
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"top_p": 0.8
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"model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct",
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[
{
"from": "user",
"value": "Given a sequence {an} with the sum of its first n terms denoted as Sn, and it satisfies a1\\=1, anan+1\\=2n, find S20\\=（ ）\nA: 1024\nB: 1086\nC: 2048\nD: 3069"
},
{
"from": "assistant",
"value": "<think>\nAlright, let's tackle this problem step by step. So, we have ... | Given a sequence {an} with the sum of its first n terms denoted as Sn, and it satisfies a1\=1, anan+1\=2n, find S20\=（ ）
A: 1024
B: 1086
C: 2048
D: 3069 | null | null | [
{
"content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving... | D | rephrase_rationalized | [
"Rewritten Question: Given a sequence \\{a_n\\} where \\(a_1 = 1\\) and \\(a_na_{n+1} = 2^n\\), find \\(S_{20}\\).\n\nStep 1: Understand the given information.\n- The first term \\(a_1 = 1\\).\n- The product of consecutive terms is \\(a_na_{n+1} = 2^n\\).\n\nStep 2: Determine the pattern for the sequence.\n- From \... | [
false,
false
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"",
""
] | {
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"model_name": "hosted_vll... | {
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"n_responses": 2
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[
{
"from": "user",
"value": "## Task 4 - 090614\n\nA working group received a sum of exactly $240 \\mathrm{M}$ as an award for very good performance.\n\nIf this money had been distributed evenly among all members of the working group, each member would have received an integer amount (in Marks). However, the... | ## Task 4 - 090614
A working group received a sum of exactly $240 \mathrm{M}$ as an award for very good performance.
If this money had been distributed evenly among all members of the working group, each member would have received an integer amount (in Marks). However, the members decided to spend the $240 \mathrm{M}... | null | null | [
{
"content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving... | 15 | rephrase_rationalized | [
"Rewritten Question: A working group received 240 M. If the money was divided equally among all members, each would get an integer amount. Three members did not go on a hiking trip where the remaining money was divided such that each hiker got 4 M more than if all had shared. Find the total number of members.\n\nLe... | [
false,
false
] | [
"",
""
] | {
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"n": 2,
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"top_k": 20,
"top_p": 0.8
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"model_name": "hosted_vll... | {
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[
{
"from": "user",
"value": "Move the parentheses to make the expression give the correct answer, while also ensuring that each operation is performed in the correct order according to the order of operations. Expression: 8 / 2 * (2 + 2) - 1\nAnswer: 15\n\n#Rewritten Test#\n\nMove the parentheses and add add... | null | null | null | [
{
"content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving... | 15 | rephrase_rationalized | [
"Rewritten Question: Move parentheses and add operations to 8 / 2 * (2 + 2) - 1 to get 15.\n\nStep 1: Start with the original expression.\nExpression: 8 / 2 * (2 + 2) - 1\n\nStep 2: Evaluate inside the parentheses first.\n(2 + 2) = 4\nExpression becomes: 8 / 2 * 4 - 1\n\nStep 3: Perform multiplication and division ... | [
false,
false
] | [
"",
""
] | {
"api_url": "http://10.32.36.232:9080/v1",
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"n": 2,
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"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
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"model_name": "hosted_vll... | {
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} |
[
{
"from": "user",
"value": "Which of the following statements does not have a valid inverse statement?\n\nA: Vertical angles are equal.\n\nB: If $|a|=|b|$, then $a=b$.\n\nC: If two lines are parallel, then the alternate interior angles are equal.\n\nD: If $a^{2}=b^{2}$, then $a=b$."
},
{
"from": "as... | Which of the following statements does not have a valid inverse statement?
A: Vertical angles are equal.
B: If $|a|=|b|$, then $a=b$.
C: If two lines are parallel, then the alternate interior angles are equal.
D: If $a^{2}=b^{2}$, then $a=b$. | null | null | [
{
"content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving... | A | rephrase_rationalized | [
"Rewritten Question: Which of the following statements does not have a valid inverse statement?\n\nStep 1: Understand what an inverse statement means.\n- The inverse of \"If P, then Q\" is \"If not P, then not Q.\"\n\nStep 2: Analyze each option for its inverse validity.\n\nOption A: Vertical angles are equal.\n- O... | [
false,
false
] | [
"",
""
] | {
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"chat_template_applied": true,
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"chat_template_applied": true,
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"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
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"model_name": "hosted_vll... | {
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"model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct",
"n_responses": 2
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[
{
"from": "user",
"value": "3.279. $\\left(1+\\cos \\frac{\\alpha-3 \\pi}{2}\\right) \\operatorname{ctg} \\frac{\\pi-\\alpha}{4}$. \n\n \n\nTranslate the above text into English, please retain the original text's line breaks and format, and output the translation result directly.\n\n3.279. $\\left(1+\\cos \... | 3.279. $\left(1+\cos \frac{\alpha-3 \pi}{2}\right) \operatorname{ctg} \frac{\pi-\alpha}{4}$.
Translate the above text into English, please retain the original text's line breaks and format, and output the translation result directly.
3.279. $\left(1+\cos \frac{\alpha-3 \pi}{2}\right) \operatorname{ctg} \frac{\pi-... | null | null | [
{
"content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving... | \cos \frac{\alpha}{2} | rephrase_rationalized | [
"Rewritten Question: Simplify \\(\\left(1+\\cos \\frac{\\alpha-3\\pi}{2}\\right) \\operatorname{ctg} \\frac{\\pi-\\alpha}{4}\\).\n\nStep 1: Simplify the cosine term.\nThe angle \\(\\frac{\\alpha - 3\\pi}{2}\\) can be rewritten using the periodicity of the cosine function:\n\\[\n\\cos \\frac{\\alpha - 3\\pi}{2} = \\... | [
false,
false
] | [
"",
""
] | {
"api_url": "http://10.32.36.232:9080/v1",
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"chat_template_applied": true,
"max_tokens": 4096,
"n": 2,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vll... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct",
"n_responses": 2
} |
[
{
"from": "user",
"value": "Let the universal set $U=\\{-2, -1, 0, 1, 2, 3\\}$, $A=\\{2, 3\\}$, $B=\\{-1, 0\\}$. Then $A \\cap (\\complement_U B)=$ （ ）\nA: $\\{0, 2, 3\\}$\nB: $\\{-2, 1, 2, 3\\}$\nC: $\\{-1, 0, 2, 3\\}$\nD: $\\{2, 3\\}$"
},
{
"from": "assistant",
"value": "<think>\nAlright, let... | Let the universal set $U=\{-2, -1, 0, 1, 2, 3\}$, $A=\{2, 3\}$, $B=\{-1, 0\}$. Then $A \cap (\complement_U B)=$ （ ）
A: $\{0, 2, 3\}$
B: $\{-2, 1, 2, 3\}$
C: $\{-1, 0, 2, 3\}$
D: $\{2, 3\}$ | null | null | [
{
"content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving... | D | rephrase_rationalized | [
"Rewritten Question: Let the universal set \\( U = \\{-2, -1, 0, 1, 2, 3\\} \\), \\( A = \\{2, 3\\} \\), and \\( B = \\{-1, 0\\} \\). Find \\( A \\cap (\\complement_U B) \\).\n\nStep 1: Identify the complement of set \\( B \\) within the universal set \\( U \\).\n- The complement of \\( B \\), denoted as \\( \\comp... | [
false,
false
] | [
"",
""
] | {
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"top_k": 20,
"top_p": 0.8
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"model_name": "hosted_vll... | {
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"model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct",
"n_responses": 2
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[
{
"from": "user",
"value": "## Task B-2.5.\n\nIn triangle $A B C$, point $D$ is on side $\\overline{A B}$ such that $|A D|:|D B|=3: 4$. On segment $\\overline{C D}$, point $E$ is such that $|C E|:|E D|=3: 4$. A line parallel to $A E$ passes through point $D$ and intersects $\\overline{B C}$ at point $G$. De... | ## Task B-2.5.
In triangle $A B C$, point $D$ is on side $\overline{A B}$ such that $|A D|:|D B|=3: 4$. On segment $\overline{C D}$, point $E$ is such that $|C E|:|E D|=3: 4$. A line parallel to $A E$ passes through point $D$ and intersects $\overline{B C}$ at point $G$. Determine the ratio $|C G|:|G B|$. | null | null | [
{
"content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving... | \dfrac{21}{16} | rephrase_rationalized | [
"Rewritten Question: In triangle \\(ABC\\), point \\(D\\) divides \\(AB\\) in the ratio \\(3:4\\). Point \\(E\\) divides \\(CD\\) in the ratio \\(3:4\\). A line through \\(D\\) parallel to \\(AE\\) intersects \\(BC\\) at \\(G\\). Find the ratio \\(CG:GB\\).\n\nStep 1: Assign coordinates for points.\nLet \\(A = (0, ... | [
false,
false
] | [
"",
""
] | {
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"n": 2,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vll... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct",
"n_responses": 2
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[
{
"from": "user",
"value": "Which of the following statements is correct? ( ) \n① The larger the linear correlation coefficient $r$, the stronger the linear correlation between two variables; conversely, the weaker the linear correlation; \n② The smaller the sum of squared residuals of a model, the bette... | Which of the following statements is correct? ( )
① The larger the linear correlation coefficient $r$, the stronger the linear correlation between two variables; conversely, the weaker the linear correlation;
② The smaller the sum of squared residuals of a model, the better the fitting effect;
③ Using the correl... | null | null | [
{
"content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving... | B | rephrase_rationalized | [
"Rewritten Question: \nEvaluate the correctness of the following statements about linear correlation and regression analysis:\n1. The magnitude of the linear correlation coefficient \\( r \\) indicates the strength of the linear relationship between two variables.\n2. A smaller sum of squared residuals for a model ... | [
false,
false
] | [
"",
""
] | {
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"chat_template_applied": true,
"max_tokens": 4096,
"n": 2,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vll... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct",
"n_responses": 2
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[
{
"from": "user",
"value": "4.3.5 ** If $a, b, c, x, y$ and $z$ are all real numbers, and\n$$\na^{2}+b^{2}+c^{2}=25, x^{2}+y^{2}+z^{2}=36, a x+b y+c z=30 \\text{. }\n$$\n\nFind the value of the expression $\\frac{a+b+c}{x+y+z}$."
},
{
"from": "assistant",
"value": "<think>\nAlright, let me try t... | 4.3.5 ** If $a, b, c, x, y$ and $z$ are all real numbers, and
$$
a^{2}+b^{2}+c^{2}=25, x^{2}+y^{2}+z^{2}=36, a x+b y+c z=30 \text{. }
$$
Find the value of the expression $\frac{a+b+c}{x+y+z}$. | null | null | [
{
"content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving... | \dfrac{5}{6} | rephrase_rationalized | [
"Rewritten Question: Given \\(a^2 + b^2 + c^2 = 25\\), \\(x^2 + y^2 + z^2 = 36\\), and \\(ax + by + cz = 30\\), find \\(\\frac{a+b+c}{x+y+z}\\).\n\nTo solve for \\(\\frac{a+b+c}{x+y+z}\\), let's start by analyzing the given equations:\n1. \\(a^2 + b^2 + c^2 = 25\\)\n2. \\(x^2 + y^2 + z^2 = 36\\)\n3. \\(ax + by + cz... | [
false,
false
] | [
"",
""
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"n": 2,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vll... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct",
"n_responses": 2
} |
[
{
"from": "user",
"value": "The equation of the function $y=\\log_{2}(2x+1)$ after being translated 1 unit to the right and having its x-coordinate stretched to twice its original length is ( )\n\nA: $y=\\log_{2}x$\n\nB: $y=\\log_{2}(2x-1)$\n\nC: $y=\\log_{2}(x+1)$\n\nD: $y=\\log_{2}(x-1)$"
},
{
"f... | The equation of the function $y=\log_{2}(2x+1)$ after being translated 1 unit to the right and having its x-coordinate stretched to twice its original length is ( )
A: $y=\log_{2}x$
B: $y=\log_{2}(2x-1)$
C: $y=\log_{2}(x+1)$
D: $y=\log_{2}(x-1)$ | null | null | [
{
"content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving... | D | rephrase_rationalized | [
"Rewritten Question: The equation of the function \\( y = \\log_{2}(2x + 1) \\) after being translated 1 unit to the right and having its x-coordinate stretched to twice its original length is?\n\nStep 1: Translate the function 1 unit to the right.\nWhen a function is translated horizontally, we replace \\( x \\) w... | [
false,
false
] | [
"",
""
] | {
"api_url": "http://10.32.36.232:9080/v1",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 2,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vll... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct",
"n_responses": 2
} |
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